Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
1597 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6577 | 0.8109 | 0.8111 | [X:[1.3529], M:[1.0392, 1.098, 1.1569, 0.9608, 0.6471, 0.8431, 0.7059], q:[0.7745, 0.3823], qb:[0.5784, 0.4608], phi:[0.451]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [12]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_4M_7$, $ M_6^2$, $ M_1M_7$, $ M_4M_6$, $ M_2M_7$, $ M_3M_7$, $ M_4^2$, $ M_7\phi_1q_2^2$, $ M_2M_6$, $ M_7q_1\tilde{q}_2$ | . | -1 | t^2.12 + t^2.53 + t^2.88 + t^3.12 + t^3.29 + t^3.47 + t^3.65 + t^3.71 + t^4.06 + t^4.12 + 2*t^4.24 + t^4.47 + t^4.65 + t^4.82 + t^5. + t^5.06 + t^5.24 + t^5.41 + t^5.59 + t^5.76 + 2*t^5.82 - t^6. + 2*t^6.18 + 2*t^6.24 + 2*t^6.35 + t^6.53 + 2*t^6.59 + t^6.65 + t^6.76 + t^6.82 + 2*t^6.94 + t^7. + 2*t^7.12 + t^7.18 + t^7.24 + t^7.29 + 2*t^7.35 + t^7.41 + 2*t^7.53 + t^7.59 + 2*t^7.71 + t^7.76 + t^7.82 + 2*t^7.88 + 2*t^7.94 - t^8.12 + t^8.18 + t^8.24 + 2*t^8.29 + 2*t^8.35 + 3*t^8.47 - t^8.53 + t^8.59 + t^8.65 + t^8.71 + t^8.76 - t^8.88 + t^8.94 - t^4.35/y - t^6.47/y + t^7.65/y + t^8./y + (2*t^8.24)/y + (2*t^8.41)/y + t^8.65/y + t^8.76/y + (2*t^8.82)/y - t^4.35*y - t^6.47*y + t^7.65*y + t^8.*y + 2*t^8.24*y + 2*t^8.41*y + t^8.65*y + t^8.76*y + 2*t^8.82*y | g1^12*t^2.12 + t^2.53/g1^14 + g1^22*t^2.88 + t^3.12/g1^22 + t^3.29/g1^4 + g1^14*t^3.47 + g1^32*t^3.65 + t^3.71/g1^30 + g1^6*t^4.06 + t^4.12/g1^56 + 2*g1^24*t^4.24 + t^4.47/g1^20 + t^4.65/g1^2 + g1^16*t^4.82 + g1^34*t^5. + t^5.06/g1^28 + t^5.24/g1^10 + g1^8*t^5.41 + g1^26*t^5.59 + g1^44*t^5.76 + (2*t^5.82)/g1^18 - t^6. + 2*g1^18*t^6.18 + (2*t^6.24)/g1^44 + 2*g1^36*t^6.35 + g1^54*t^6.53 + (2*t^6.59)/g1^8 + t^6.65/g1^70 + g1^10*t^6.76 + t^6.82/g1^52 + 2*g1^28*t^6.94 + t^7./g1^34 + 2*g1^46*t^7.12 + t^7.18/g1^16 + t^7.24/g1^78 + g1^64*t^7.29 + 2*g1^2*t^7.35 + t^7.41/g1^60 + 2*g1^20*t^7.53 + t^7.59/g1^42 + 2*g1^38*t^7.71 + t^7.76/g1^24 + t^7.82/g1^86 + 2*g1^56*t^7.88 + (2*t^7.94)/g1^6 - g1^12*t^8.12 + t^8.18/g1^50 + t^8.24/g1^112 + 2*g1^30*t^8.29 + (2*t^8.35)/g1^32 + 3*g1^48*t^8.47 - t^8.53/g1^14 + t^8.59/g1^76 + g1^66*t^8.65 + g1^4*t^8.71 + t^8.76/g1^58 - g1^22*t^8.88 + t^8.94/g1^40 - (g1^2*t^4.35)/y - (g1^14*t^6.47)/y + t^7.65/(g1^2*y) + (g1^34*t^8.)/y + (2*t^8.24)/(g1^10*y) + (2*g1^8*t^8.41)/y + t^8.65/(g1^36*y) + (g1^44*t^8.76)/y + (2*t^8.82)/(g1^18*y) - g1^2*t^4.35*y - g1^14*t^6.47*y + (t^7.65*y)/g1^2 + g1^34*t^8.*y + (2*t^8.24*y)/g1^10 + 2*g1^8*t^8.41*y + (t^8.65*y)/g1^36 + g1^44*t^8.76*y + (2*t^8.82*y)/g1^18 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
3985 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_4M_8$ | 0.655 | 0.8071 | 0.8115 | [X:[1.3586], M:[1.0185, 1.0943, 1.17, 0.9815, 0.6414, 0.83, 0.7172, 1.0185], q:[0.7736, 0.3965], qb:[0.585, 0.4335], phi:[0.4529]] | t^2.15 + t^2.49 + 2*t^3.06 + t^3.28 + t^3.51 + t^3.62 + t^3.74 + t^3.96 + t^4.08 + 2*t^4.3 + t^4.41 + t^4.64 + t^4.87 + t^4.98 + 2*t^5.21 + t^5.55 + t^5.66 + 2*t^5.77 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
3986 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6765 | 0.8454 | 0.8002 | [X:[1.3496], M:[1.0516, 1.1003, 1.149, 0.9484, 0.6504, 0.851, 0.6991, 0.7478], q:[0.7751, 0.3739], qb:[0.5745, 0.4772], phi:[0.4499]] | t^2.1 + t^2.24 + t^2.55 + t^2.85 + t^3.15 + t^3.3 + t^3.45 + t^3.59 + t^4.05 + 2*t^4.19 + t^4.21 + t^4.34 + t^4.49 + t^4.5 + t^4.65 + 2*t^4.8 + t^4.94 + t^5.09 + t^5.11 + t^5.25 + 2*t^5.4 + 2*t^5.54 + 2*t^5.69 + t^5.84 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1025 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^3.66 + t^3.7 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.46 + t^4.83 + t^5.05 + t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail |